Thermal free vibration analysis of functionally graded plates and panels with an improved finite shell element

Zghal, Souhir; Trabelsi, S.; Frikha, Ahmed; Dammak, Fakhreddine

doi:10.1080/01495739.2021.1871577

Cited by 13 publications

(6 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Several studies have demonstrated techniques in practical multidisciplinary design [4] for networks of aircraft components, including an automated load process with a two-level load approach, including aeroelastic analysis and sensitivity studies of the influential parameters. In certain advanced studies, a discrete director-based finite element (FE) formulation was also shown to be robust for free vibration analysis of various carbon nanotube (CNT)-reinforced structures such as composite shells, cylindrical panels, and plates [78], including cases of functional grading for material distribution and thermal effects [79].…”

Section: Case Studymentioning

confidence: 99%

See 1 more Smart Citation

A Comparative Analysis of the Response-Tracking Techniques in Aerospace Dynamic Systems Using Modal Participation Factors

Nieto,

Babu,

ElSayed

et al. 2023

Applied Mechanics

View full text Add to dashboard Cite

Mechanical structural systems are subject to multiple dynamic disturbances during service. While several possible scenarios can be examined to determine their design loading conditions, only a relatively small set of such scenarios is considered critical. Therefore, only such particular deterministic set of critical load cases is commonly employed for the structural design and optimization. Nevertheless, during the design and optimization stages, the mass and stiffness distributions of such assemblies vary, and, in consequence, their dynamic response also varies. Thus, it is important to consider the variations in the dynamic loading conditions during the design-and-optimization cycles. This paper studies the modal participation factors at length and proposes an alternative to the current point-wise treatment of the dynamic equations of motion of flexible bodies during design optimization. First, the most relevant-to-structural-dynamics definitions available in the literature are reviewed in depth. Second, the analysis of those definitions that have the potential to be adopted as point-wise constraint equations during structural optimization is extended. Finally, a proof of concept is presented to demonstrate the usability of each definition, followed by a case study in which the potential advantages of the proposed extended analysis are shown.

show abstract

Section: Case Studymentioning

confidence: 99%

“…Mech. 2023, 4, FOR PEER REVIEW 16 [78], including cases of functional grading for material distribution and thermal effects [79].…”

Section: Case Studymentioning

confidence: 99%

A Comparative Analysis of the Response-Tracking Techniques in Aerospace Dynamic Systems Using Modal Participation Factors

Nieto,

Babu,

ElSayed

et al. 2023

Applied Mechanics

View full text Add to dashboard Cite

show abstract

“…Using modified FSDT, Trabelsi et al [ 27 ] perused the thermal post-buckling of functionally graded material structures. Using an improved FSDT, Zghal et al [ 28 ] analyzed the thermal-free vibrations of functionally graded plates and panels. Based on FSDT, Zghal et al [ 29 ] investigated the functionality of graded carbon-nanotube-reinforced composite structures using the finite element technique.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal Strain Gradient Model for the Nonlinear Static Analysis of a Circular/Annular Nanoplate

2023

View full text Add to dashboard Cite

A nonlinear static analysis of a circular/annular nanoplate on the Winkler–Pasternak elastic foundation based on the nonlocal strain gradient theory is presented in the paper. The governing equations of the graphene plate are derived using first-order shear deformation theory (FSDT) and higher-order shear deformation theory (HSDT) with nonlinear von Karman strains. The article analyses a bilayer circular/annular nanoplate on the Winkler–Pasternak elastic foundation. HSDT while providing a suitable distribution of shear stress along the thickness of the FSDT plate, eliminating the defects of the FSDT and providing good accuracy without using a shear correction factor. To solve the governing equations of the present study, the differential quadratic method (DQM) has been used. Moreover, to validate numerical solutions, the results were compared with the results from other papers. Finally, the effect of the nonlocal coefficient, strain gradient parameter, geometric dimensions, boundary conditions, and foundation elasticity on maximum non-dimensional deflection are investigated. In addition, the deflection results obtained by HSDT have been compared with the results of FSDT, and the importance of using higher-order models has been investigated. From the results, it can be observed that both strain gradient and nonlocal parameters have significant effects on reducing or increasing the dimensionless maximum deflection of the nanoplate. In addition, it is observed that by increasing load values, the importance of considering both strain gradient and nonlocal coefficients in the bending analysis of nanoplates is highlighted. Furthermore, replacing a bilayer nanoplate (considering van der Waals forces between layers) with a single-layer nanoplate (which has the same equivalent thickness as the bilayer nanoplate) is not possible when attempting to obtain exact deflection results, especially when reducing the stiffness of elastic foundations (or in higher bending loads). In addition, the single-layer nanoplate underestimates the deflection results compared to the bilayer nanoplate. Because performing the experiment at the nanoscale is difficult and molecular dynamics simulation is also time-consuming, the potential application of the present study can be expected for the analysis, design, and development of nanoscale devices, such as circular gate transistors, etc.

show abstract

“…Using Green's function method, three-dimensional thermoelastic fields in plates under the action of heat sources were studied in [10]. Numerical methods were used [11,12] for the analysis of non-stationary heat processes in inhomogeneous plates. In [12] studies of the influence of thermomechanical connectivity on the stress-deformed state of composite structures were performed.…”

Section: Introductionmentioning

confidence: 99%

Temperature stresses in a rectangular two-layer plate under the action of a locally distributed temperature field

Musii¹,

Zhydyk²,

Drohomyretska³

et al. 2023

Math. Model. Comput.

View full text Add to dashboard Cite

A rectangular isotropic two-layer plate of an irregular structure is considered, the edges of which are freely supported, and a constant temperature is maintained on them. Two-dimensional Kirchhoff-type thermoelasticity equations and two-dimensional heat equations written for an inhomogeneous material were used to study the temperature stresses in the plate. Using the method of double trigonometric series in spatial variables and the Laplace integral transformation over time, the general solutions of boundary value problems of thermoelasticity and heat conductivity for this plate under the action of a locally distributed temperature field specified at the initial moment of time are written down. The normal stresses in the layers of the plate are numerically analyzed depending on the geometric parameters, heat transfer coefficient, and time.

show abstract

Thermal free vibration analysis of functionally graded plates and panels with an improved finite shell element

Cited by 13 publications

References 37 publications

A Comparative Analysis of the Response-Tracking Techniques in Aerospace Dynamic Systems Using Modal Participation Factors

A Comparative Analysis of the Response-Tracking Techniques in Aerospace Dynamic Systems Using Modal Participation Factors

Nonlocal Strain Gradient Model for the Nonlinear Static Analysis of a Circular/Annular Nanoplate

Temperature stresses in a rectangular two-layer plate under the action of a locally distributed temperature field

Contact Info

Product

Resources

About